ABSTRACT

First Published in 2018. The emphasis of the book is calculational, and most computations are presented in step-by-step detail. The book is unique in that it develops all three representations of quantum field theory (operator, functional Schr dinger, and path integral) for point particles and strings. In many cases, identical results are worked out in each representation to emphasize the representation-independent structures of quantum field theory

part I|2 pages

POINT PARTICLES

chapter 1|6 pages

Introduction: Phenomenology Overview

chapter 2|26 pages

First to Second Quantization

chapter 3|24 pages

Free Scalar Field Theory

chapter 4|18 pages

Free Spinor Field Theory

chapter 5|16 pages

Quantization of the Electromagnetic Field

chapter 6|18 pages

Interacting Field Theories

chapter 7|44 pages

Self-Interacting Scalar Field Theory

chapter 8|24 pages

Spinor Quantum Electrodynamics

chapter 9|20 pages

Functional Calculus

chapter 13|28 pages

Path Integrals in Free Field Theory

chapter 14|12 pages

Interacting Fields and Path Integrals

chapter 15|20 pages

Yang-Mills and Faddeev-Popov

chapter 16|16 pages

Hiding the Infinities

chapter 17|54 pages

Renormalization of QED at 1-Loop

chapter 18|42 pages

The Effective Action

part II|2 pages

STRINGS

chapter 19|28 pages

Basic Ideas and Classical Theory

chapter 20|32 pages

First Quantization

chapter 21|68 pages

The Mathematics of Surfaces

chapter 23|22 pages

Higher-Genus Integrals

chapter 24|16 pages

Scattering Amplitudes

chapter 25|18 pages

Noncritical Dimensions

chapter 26|34 pages

Introduction to Superstrings